Geodesic
Symplectic shifted tableaux and deformations of Weyl's denominator formula for $sp(2n)$
Journal of Algebraic Combinatorics, Tome 16 (2002) no. 3, pp. 269-300.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: A determinantal expansion due to Okada is used to derive both a deformation of Weyl's denominator formula for the Lie algebra $s$p($2 n$) of the symplectic group and a further generalisation involving a product of the deformed denominator with a deformation of flagged characters of $s$p($2 n$). In each case the relevant expansion is expressed in terms of certain shifted $s$p($2 n$)-standard tableaux. It is then re-expressed, first in terms of monotone patterns and then in terms of alternating sign matrices.
Keywords: alternating sign matrices, symplectic shifted tableau, monotone triangle, Weyl's denominator formula 
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     author = {Hamel, A. M. and King, R. C.},
     title = {Symplectic shifted tableaux and deformations of {Weyl's} denominator formula for $sp(2n)$},
     journal = {Journal of Algebraic Combinatorics},
     pages = {269--300},
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     number = {3},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2002__16_3_a1/}
}
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Hamel, A. M.; King, R. C. Symplectic shifted tableaux and deformations of Weyl's denominator formula for $sp(2n)$. Journal of Algebraic Combinatorics, Tome 16 (2002) no. 3, pp. 269-300. http://geodesic.mathdoc.fr/item/JAC_2002__16_3_a1/